3 citations · 3 across the 1 of their papers we have counts for
3 papers
nlin.SI2008★ 3 cited
Generalized Landau-Lifshitz systems and Lie algebras associated with higher genus curves
S. Igonin, J. van de Leur, G. Manno +1
The Wahlquist-Estabrook prolongation method allows to obtain for some PDEs a Lie algebra that is responsible for Lax pairs and Backlund transformations of certain type. We study th…
nlin.SI2004
Miura type transformations and homogeneous spaces
Sergey Igonin
We relate Miura type transformations (MTs) over an evolution system to its zero-curvature representations with values in Lie algebras g. We prove that certain homogeneous spaces of…
nlin.SI2003
Coverings and fundamental algebras for partial differential equations
Sergey Igonin
Following I. S. Krasilshchik and A. M. Vinogradov, we regard PDEs as infinite-dimensional manifolds with involutive distributions and consider their special morphisms called differ…